Image processing device, image processing method, program, and information recording medium

ABSTRACT

A plurality of captured images obtained by repeatedly shooting a rotating object are obtained. In a case where a feature point corresponding to a certain point on the object is specified in one captured image and another captured image, a position information obtaining unit obtains position information relating to a position of the feature point in the one captured image and the another captured image. A rotation angle information obtaining unit obtains rotation angle information relating to a rotation angle of the object between a point of time when the one captured image is shot and a point of time when the another captured image is shot based on position information. A moving image data generating unit generates moving image data by selecting frame images of the moving image data from the plurality of photographed images based on rotation angle information of each of the plurality of photographed images.

CROSS REFERENCE TO RELATED APPLICATIONS

This application is a National Stage of International Application No.PCT/JP2013/065116 filed on May 30, 2013, claims priority to JapanesePatent Application No. 2012-213030 filed on Sep. 26, 2012. The contentsof each of the above documents are incorporated herein by reference intheir entirety.

TECHNICAL FIELD

The present invention relates to an image processing device, an imageprocessing method, a program, and an information storage medium.

BACKGROUND ART

As a method to shoot (image) an entire circumference of an object, amethod is known in which an object is shot while mechanically rotating aturntable, on which the object is placed at the center, at a constantangular velocity (Non-Patent Literature 1). In addition, an applicationprogram is also known in which a user is allowed to rotate an objectdisplayed on a screen arbitrarily with use of the captured image dataobtained in this manner (Non-Patent Literature 1).

In the application program disclosed in Non-Patent Literature 1, it isconfigured that, when a user slides a finger on a touch panel, a frameof the captured image data moves back and forth by a number based on theslide amount. As a result, the object is rotated by an angle based onthe slide amount of the user, and thus the user can view the object fromany direction. Such a technology enables a user, for example, to view aproduct from an arbitrary direction on a website where the product issold.

CITATION LIST Non-Patent Document

-   Non-Patent Literature 1: “The Coolest AppAtSXSW-Arqball Spin”.    [online]. Mar. 13, 2012. [retrieved on Jul. 26, 2012]. Retrieved    from the Internet:    <URL:http://erickschonfeld.com/2012/03/13/coolest-app-sxsw-arqball-spin/>.

SUMMARY OF INVENTION Technical Problem

The above described technology requires a turntable that rotatesmechanically at a constant angular velocity, and a preparation of such aturntable takes considerable costs or labors. In contrast, in the caseof a turntable that is manually rotated, costs and labors can bereduced.

However, if a turntable that is rotated manually is used, the angularvelocity of the object is not constant, and thus a rotation angle of theobject for each frame is not constant in the captured image data. Assuch, when such captured image data is reproduced as it is, a rotationalspeed of the object is not constant. Further, in a case where suchcaptured image data is used in the above described application programas it is, the rotation angle of the object based on the user's slideamount is not constant. As a result, sometimes users may feeluncomfortable.

In order to solve such an inconvenience, it is necessary to providetechnology for obtaining moving image data in which a rotation angle ofan object is approximately constant for each frame, based on capturedimage data obtained by shooting an object rotating at a non-constantangular velocity.

One or more embodiments of the present invention have been conceived inview of the above, and an object thereof is to provide an imageprocessing device, an image processing method, a program, and aninformation storage medium capable of obtaining moving image data inwhich a rotation angle of an object is approximately constant for eachframe, based on captured image data obtained by shooting an objectrotating at a non-constant angular velocity.

Solution to Problem

In order to solve the above described problems, an image processingdevice according to the present invention includes captured imageobtaining means for obtaining a plurality of captured images that areobtained by repeatedly shooting an object while the object rotates,feature point specifying means for specifying one or more feature pointsin the captured images, position information obtaining means forobtaining, in a case where a feature point corresponding to a certainpoint on the object is specified in one captured image and anothercaptured image that is shot after the one captured image, positioninformation relating to positions of the feature point in the onecaptured image and the another captured image, rotation angleinformation obtaining means for obtaining rotation angle informationrelating to a rotation angle of the object between a point of time whenthe one captured image is shot and a point of time when the anothercaptured image is shot, based on the position information, and movingimage data generating means for generating moving image data which showshow the object rotates, by selecting a plurality of frame images of themoving image data from among the plurality of captured images, based onthe rotation angle information obtained by the rotation angleinformation obtaining means for each of the plurality of capturedimages.

An image processing method according to the present invention includes acaptured image obtaining step of obtaining a plurality of capturedimages that are obtained by repeatedly shooting an object while theobject rotates, a feature point specifying step of specifying one ormore feature points in the captured images, a position informationobtaining step of obtaining, in a case where a feature pointcorresponding to a certain point on the object is specified in onecaptured image and another captured image that is shot after the onecaptured image, position information relating to positions of thefeature point in the one captured image and the another captured image,a rotation angle information obtaining step of obtaining rotation angleinformation relating to a rotation angle of the object between a pointof time when the one captured image is shot and a point of time when theanother captured image is shot, based on the position information, and amoving image data generating step of generating moving image data byselecting a plurality of frame images of the moving image data, whichshows how the object rotates, from among the plurality of capturedimages, based on the rotation angle information obtained by the rotationangle information obtaining step for each of the plurality of capturedimages.

A program according to the present invention causes a computer tofunction as captured image obtaining means for obtaining a plurality ofcaptured images that are obtained by repeatedly shooting an object whilethe object rotates, feature point specifying means for specifying one ormore feature points in the captured images, position informationobtaining means for obtaining, in a case where a feature pointcorresponding to a certain point on the object is specified in onecaptured image and another captured image that is shot after the onecaptured image, position information relating to positions of thefeature point in the one captured image and the another captured image,rotation angle information obtaining means for obtaining rotation angleinformation relating to a rotation angle of the object between a pointof time when the one captured image is shot and a point of time when theanother captured image is shot, based on the position information, andmoving image data generating means for generating moving image data byselecting a plurality of frame images of the moving image data, whichshows how the object rotates, from among the plurality of capturedimages, based on the rotation angle information obtained by the rotationangle information obtaining means for each of the plurality of capturedimages.

An information storage medium according to the present invention is acomputer-readable information storage medium that stores the aboveprogram.

In an embodiment of the present invention, the moving image datagenerating means may determine, in a case where the one captured imageis selected as a frame image of the moving image data, whether or not toselect the another captured image as another frame image of the movingimage data based on a result of comparing the rotation angle informationwith a threshold value.

In an embodiment of the present invention, in a case where the onecaptured image is selected as a frame image of the moving image data andthe rotation angle information is equal to or more than the thresholdvalue, the moving image data generating means may select, as anotherframe image of the moving image data, either one of the another capturedimage and a captured image that was shot immediately before the anothercaptured image.

In an embodiment of the present invention, in a case where the rotationangle information relating to a rotation angle of the object between thepoint of time when the one captured image is shot and the point of timewhen the another captured image is shot is closer to the threshold valuethan rotation angle information relating to a rotation angle of theobject between the point of time when the one captured image is shot anda point of time when the captured image that was shot immediately beforethe another captured image is shot, the moving image data generatingmeans may select the another captured image as a frame image of themoving image data, and, in a case where the rotation angle informationrelating to the rotation angle of the object between the point of timewhen the one captured image is shot and the point of time when thecaptured image that was shot immediately before the another capturedimage is shot is closer to the threshold value than the rotation angleinformation relating to the rotation angle of the object between thepoint of time when the one captured image is shot and the point of timewhen the another captured image is shot, the moving image datagenerating means may select the captured image that was shot immediatelybefore the another captured image as a frame image of the moving imagedata.

In an embodiment of the present invention, in a case where a featurepoint corresponding to a certain point on the object is specified on afirst pair of captured images, the position information obtaining meansmay obtain position information relating to a position of the featurepoint in one captured image that is shot first among the first pair ofcaptured images and in another captured image that is shot later amongthe first pair of captured images. The rotation angle informationobtaining means may obtain rotation angle information relating to arotation angle of the object between a point of time when the onecaptured image of the first pair of captured images is shot and a pointof time when the another captured image of the first pair of capturedimages is shot based on the position information of the first pair ofcaptured images. In a case where a feature point corresponding to acertain point on the object is specified in a second pair of capturedimages, the position information obtaining means may obtain positioninformation relating to a position of the feature point of one capturedimage that is shot first among the second pair of captured images andanother captured image that is shot later among the second pair ofcaptured images. The rotation angle information obtaining means mayobtain rotation angle information relating to a rotation angle of theobject between a point of time when the one captured image of the secondpair of captured images is shot and a point of time when the anothercaptured image of the second pair of captured images is shot based onthe position information of the second pair of captured images. In acase where the another captured image of the first pair of capturedimages is identical to the one captured image of the second pair ofcaptured images, the moving image data generating means may includemeans for obtaining cumulative rotation angle information relating to arotation angle of the object between the point of time when the onecaptured image of the first pair of captured images is shot and thepoint of time when the another captured image of the second pair ofcaptured images is shot, based on the rotation angle information of thefirst pair of captured images and the rotation angle information of thesecond pair of captured images. The moving image data generating meansmay select a plurality of frame images of the moving image data from theplurality of captured images based on the cumulative rotation angleinformation.

In an embodiment of the present invention, in a case where the onecaptured image of the first pair of captured images is selected as aframe image of the moving image data, the moving image data generatingmeans may determine whether or not to select the another captured imageof the second pair of captured images as another frame image of themoving image data, based on a result of comparing the cumulativerotation angle information with the threshold value.

In an embodiment of the present invention, in a case where the onecaptured image of the first pair of captured images is selected as aframe image of the moving image data and the cumulative rotation angleinformation is equal to or more than the threshold value, the movingimage data generating means may select either one of the anothercaptured image of the second pair of captured images and a capturedimage that was shot immediately before the another captured image of thesecond pair of captured images as another frame image of the movingimage data.

In an embodiment of the present invention, the rotation angleinformation obtaining means may include means for obtaining positiondifference information relating to a difference between the position ofthe feature point in the one captured image and the position of thefeature point in the another captured image, and means for obtaining therotation angle information based on the position difference information.

In an embodiment of the present invention, the image processing devicemay include means for setting an area in the captured image as anobservation area based on a position of a rotation axis of the object inthe captured image, and the rotation angle information obtaining meansmay obtain the rotation angle information based on the positiondifference information in a case where the feature point is included inthe observation area.

In an embodiment of the present invention, the rotation angleinformation obtaining means may obtain the rotation angle informationusing the position difference information of a feature point whoserotation radius of when the object rotates is large, in preference tothe position difference information of a feature point whose rotationradius of when the object rotates is small.

In an embodiment of the present invention, the rotation angleinformation obtaining means may include rotation radius informationobtaining means for obtaining, in a case where a plurality of featurepoints respectively corresponding to a plurality of points on the objectare specified in the one captured image and the another captured image,rotation radius information relating to a rotation radius of a point onthe object corresponding to the feature point, for each of the pluralityof feature points, means for obtaining, for each of the plurality offeature points, rotation angle information relating to a rotation angleof the point corresponding to the feature point on the object between apoint of time when the one captured image is shot and a point of timewhen the another captured image is shot, based on the positiondifference information and the rotation radius information of thefeature points, and means for obtaining the rotation angle informationof the object based on the rotation angle information of each of theplurality of feature points.

In an embodiment of the present invention, the rotation radiusinformation obtaining means may include means for obtaining, in a casewhere the feature point corresponding to the certain point on the objectis specified in at least three captured images, elliptical orbitinformation relating to an elliptical orbit of the feature point basedon the position of the feature point in the at least three capturedimages, and means for obtaining the rotation radius information of thefeature point based on the elliptical orbit information of the featurepoint.

In an embodiment of the present invention, in a case where the featurepoint corresponding to the certain point on the object is firstspecified in an ith (i: an integer of 1 or more) captured image andspecified last in a jth (j: an integer greater than i) captured imagethat is shot later than the ith captured image, the rotation radiusinformation obtaining means may obtain the rotation radius informationof the feature point based on a position of the feature point in the ithcaptured image and a position of the feature point in the jth capturedimage.

In an embodiment of the present invention, the rotation angleinformation obtaining means may include means for obtaining, in a casewhere the feature point corresponding to the certain point on the objectis specified in at least three captured images, elliptical orbitinformation relating to an elliptical orbit of the feature point andmeans for obtaining the rotation angle information based on thepositions of the feature point in the one captured image and in theanother captured image and the elliptical orbit information.

In an embodiment of the present invention, the moving image datagenerating means may include means for obtaining similarity informationrelating to a similarity between a reference captured image that isselected from the plurality of captured images and each of a pluralityof captured images that are shot after a predetermined period of timepasses from a point of time when the reference captured image is shot,and means for selecting one of the plurality of captured images that areshot after the predetermined period of time passes from the point oftime when the reference captured image is shot as a captured image of apoint of time when the object completes one rotation based on thesimilarity information. The moving image data generating means maygenerate the moving image data showing how the object rotates once basedon captured images that are shot before the point of time when thecaptured image selected as the captured image of the time when theobject completes one rotation is shot.

In an embodiment of the present invention, the moving image datagenerating means may include feature point number obtaining means forobtaining a number of feature points corresponding to feature pointsspecified in the reference captured image, from among the feature pointsspecified in the captured image that is shot after the predeterminedperiod of time passes from the point of time when the reference capturedimage is shot, means for selecting candidates of the captured image ofthe point of time when the object completes one rotation, from among theplurality of captured images that are shot after the predeterminedperiod of time passes from the point of time when the reference capturedimage is shot, based on a result obtained by the feature point numberobtaining means, means for obtaining similarity information relating toa similarity between the reference captured image and each of thecaptured images selected as the candidates, and means for selecting oneof the captured images selected as the candidates as the captured imageof a point of time when the object completes one rotation based on thesimilarity information.

In an embodiment of the present invention, the plurality of capturedimages may include the 1st to mth (m: an integer of 2 or more) capturedimages and m+1th to m+nth (n: an integer of 1 or more) captured images,which are shot after the mth captured image. The moving image datagenerating means may include selection number obtaining means forobtaining a number of the captured images selected as frame images ofthe moving image data out of the 1st to the mth captured images, andmeans for selecting the frame images of the moving image data out of them+1th to the m+nth captured images, in a case where the feature pointcorresponding to the point on the object is not specified in the m+1thto the m+nth captured images, based on a ratio of a number of the 1st tothe mth captured images to the number of the captured images obtained bythe selection number obtaining means.

In an embodiment of the present invention, the plurality of capturedimages may include the 1st to mth (m: an integer of 2 or more) capturedimages and m+1th to m+nth (n: an integer of 1 or more) captured images,which are shot after the mth captured image. The moving image datagenerating means may include selection number obtaining means forobtaining a number of the captured images selected out of the m+1th tothe m+nth captured images as the frame images of the moving image data,and means for selecting the frame images of the moving image data out ofthe 1st to the mth captured images, in a case where the feature pointcorresponding to the point on the object is not specified in the 1st tothe mth captured images, based on a ratio of a number of the m+1th tothe m+nth captured images to the number of the captured images obtainedby the selection number obtaining means.

In an embodiment of the present invention, the image processing devicemay include first determination means for determining whether or not afeature amount of the feature point specified in the one captured imageand a feature amount of the feature point specified in the anothercaptured image area are the same or substantially the same, seconddetermination means for determining whether or not a difference of acoordinate value of a direction of an axis corresponding to a rotationaxis of the object between the position of the feature point specifiedin the one captured image and the position of the feature pointspecified in the another captured image is equal to or more than thethreshold value, and means for determining whether or not the featurepoint specified in the one captured image and the feature pointspecified in the another captured image are feature points correspondingto the certain point on the object based on a determination result ofthe first determination means and the second determination means.

In an embodiment of the present invention, the image processing devicemay include determination means for determining whether or not thefeature amount of the feature point specified in the one captured imageand the feature amount of the feature point specified in the anothercaptured image are the same or substantially the same, comparing meansfor comparing (a) information relating to a difference of a coordinatevalue of a direction of a second axis perpendicular to a first axiscorresponding to a rotation axis of the object between the position ofone feature point in the one captured image and the position of the onefeature point in the another captured image with (b) informationrelating to a difference of a coordinate value of the direction of thesecond axis between the position of another feature point in the onecaptured image and the position of the another feature point in theanother captured image, in a case where the one feature point having thesame or substantially the same feature amount in both of the onecaptured image and the another captured image, and the another featurepoint having the same or substantially the same feature amount in bothof the one captured image and the another captured image are specified,and means for determining whether or not the feature point specified inthe one captured image and the feature point specified in the anothercaptured image are feature points corresponding to the certain point onthe object, based on a determination result of the determination meansand a comparing result of the comparing means.

In an embodiment of the present invention, the captured image obtainingmeans may obtain a plurality of captured images that are obtained byrepeatedly shooting the object while the object rotates a plurality oftimes. The moving image data generating means may generate the movingimage data that shows how the object rotates once based on the pluralityof captured images that are obtained by repeatedly shooting the objectwhile the object rotates the plurality of times.

Advantageous Effects of Invention

According to the present invention, it is possible to obtain movingimage data in which a rotation angle of an object is approximatelyconstant for each frame based on captured image data of the objectrotating at a non-constant angular velocity.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1 A diagram illustrating an example of a hardware configuration ofan image processing device according to an embodiment of the presentinvention.

FIG. 2 A diagram for explaining a method of shooting an item.

FIG. 3 A diagram for explaining a method of shooting an item.

FIG. 4 A diagram for explaining an outline of a method for generatingmoving image data of an item.

FIG. 5 A functional block diagram illustrating functions implemented inthe image processing device.

FIG. 6 A diagram illustrating an example of a feature point specified bya feature point specifying unit.

FIG. 7 A diagram illustrating an example of an orbit of a feature pointcorresponding to the certain point on the item.

FIG. 8 A diagram illustrating an example of feature points specified inone captured image and another captured image.

FIG. 9 A diagram for explaining a method for obtaining rotation angleinformation.

FIG. 10 A diagram illustrating the Sin function.

FIG. 11 A diagram for explaining a method for setting an observationarea.

FIG. 12 A diagram for explaining a method for setting an observationarea.

FIG. 13 A diagram for explaining an example of a method for selectingframe images.

FIG. 14 A diagram for explaining another example of a method forselecting frame images.

FIG. 15 A diagram for explaining the other example of a method forselecting frame images.

FIG. 16 A flow chart showing an example of processing executed in theimage processing device.

FIG. 17 A flow chart showing an example of processing executed in theimage processing device.

FIG. 18 A diagram for explaining an outline of processing executed inthe image processing device.

FIG. 19 A flow chart showing details of processing executed in the imageprocessing device.

FIG. 20 A flow chart showing another example of processing executed inthe image processing device.

FIG. 21 A flow chart showing another example of processing executed inthe image processing device.

FIG. 22A A diagram illustrating a variation.

FIG. 22B A diagram illustrating a variation.

FIG. 23 A diagram illustrating another variation.

DESCRIPTION OF EMBODIMENTS

Examples of an embodiment of the present invention will be describedbelow in detail with reference to the accompanying drawings.

FIG. 1 illustrates an example of a hardware configuration of an imageprocessing device according to an embodiment of the present invention.The image processing device 10 according to this embodiment isimplemented by, for example, a personal computer, a server computer, amobile phone (including a smart phone), or a portable informationterminal (including a tablet computer).

As shown in FIG. 1, the image processing device 10 includes a controlunit 11, a storage unit 12, an optical disc drive unit 13, acommunication unit 14, an operation unit 15, a display unit 16, and anaudio output unit 17.

The control unit 11 includes, for example, one or more microprocessors,and executes processing according to an operating system or a programstored in the storage unit 12. The storage unit 12 includes a mainstorage unit, such as a RAM, and an auxiliary storage unit, such as ahard disk or a solid-state drive.

The optical disc drive unit 13 reads a program and data stored in anoptical disc (information storage medium). The program and data areprovided to the storage unit 12 through the optical disc. That is, theprogram and data stored in the optical disc are read and stored in thestorage unit 12. The optical disc drive unit 13 is not an essentialelement. The image processing device 10 may include an element forreading the program and data stored in an information storage mediumother than the optical disc (e.g., memory card). The program and datamay be provided to the storage unit 12 through an information storagemedium other than the optical disc.

The communication unit 14 is an interface for connecting the imageprocessing device 10 to a communication network. The image processingdevice 10 is configured to send and receive data to and from otherdevices through the communication network. The program and data may beprovided to the storage unit 12 through the communication network.

The operation unit 15 is a unit for a user to operate. The operationunit 15 includes, for example, a keyboard, a pointing device or thelike. The display unit 16 is, for example, a liquid crystal display, anorganic EL display or the like, and the audio output unit 17 is, forexample, speakers, headphones or the like.

The following explains technology of generating moving image data inwhich a rotation angle of an object is approximately constant for eachframe, based on captured image data of an object rotating at anon-constant angular velocity. In the following, a case is discussed inwhich moving image data of commercial items is generated. However, thepresent invention is applicable to a case where moving image data of anobject other than a commercial item is generated.

First, a method for shooting an item will be discussed. FIGS. 2 and 3illustrate a method for shooting an item. As shown in FIG. 2, when anitem 30 (beckoning cat in the example of FIG. 2) is shot, the item 30 isplaced on a turntable 20.

The turntable 20 includes a thick board 22, a cardboard 24, and athumbtack 28. The thick board 22 is a board in which the thumbtack 28can be safely stuck, and the cardboard 24 is attached to the thick board22 with the thumbtack 28. The thumbtack 28 is stuck in the center 26 ofthe cardboard 24.

The item 30 is placed at the center of the cardboard 24. The item 30 isplaced so that the center axis of the item 30 matches the center 26 ofthe cardboard. The cardboard 24 is rotatable with the thumbtack 28 as arotation axis 32. When a videographer rotates the cardboard 24 manually,the item 30 placed on the cardboard 24 rotates about the rotation axis32.

As shown in FIG. 3, an shooting device 34 for shooting the item 30 isfixed at the position from which the item 30 placed on the turntable 20can be shot. In the example shown in FIG. 3, the shooting device 34 isplaced in front of the turntable 20 and slightly above the item 30.

The shooting device 34 includes a digital video camera, and can shoot astill image and a moving image. For example, a single digital videocamera or a digital video camera built in a mobile phone etc. is used asthe shooting device 34. Further, for example, a digital video camerabuilt in the image processing device 10 may be used as the shootingdevice 34. A digital camera capable of shooting only still images may beused as the shooting device 34.

The shooting device 34 performs shooting at predetermined intervals(e.g., every 1/30 seconds). In other words, the shooting device 34shoots a moving image having the predetermined number (e.g., 30) offrames per second.

The videographer starts shooting with the shooting device 34, and alsorotates the cardboard 24, on which the item 30 is placed,counterclockwise (or clockwise). For example, the videographer rotatesthe cardboard 24 using an index finger and a middle finger alternately.In this case, a moving image of the rotating item 30 is shot by theshooting device 34. This moving image is stored in the storage unit 12of the image processing device 10 through a storage medium or acommunication network. This moving image may be stored in a device otherthan the image processing device 10.

Instead of shooting a moving image of the item 30, the videographer maycontinuously shoot still images of the item 30 while the item 30 isrotating. A group of the still images obtained as described above may beused in place of the above moving image.

In the following, a moving image or a group of still images shot by theshooting device 34 is referred to as “captured image data.” Each imageincluded in the captured image data is referred to as “captured image.”For example, if a moving image shot by the shooting device 34 iscaptured image data, each frame image of the moving image corresponds toa “captured image.” Further, for example, if a group of still imagesshot by the shooting device 34 is captured image data, each still imagecorresponds to a “captured image.”

In the following, moving image data of an item 30 to be generated basedon captured image data, that is, moving image data in which a rotationangle of an item 30 is approximately constant for each frame is simplyreferred to as “moving image data.”

Next, a method for generating moving image data in which a rotationangle of an item 30 is approximately constant for each frame, based onthe captured image data as above will be discussed below. FIG. 4illustrates an outline of a method for generating moving image data.

In FIG. 4, the numbers attached above the captured images 40 included inthe captured image data are image numbers. Each image number indicates ashooting order for a captured image. If the captured image data is amoving image, an image number corresponds to a frame number of themoving image. On the other hand, if the captured image data is a groupof still images, an image number indicates where a still image inquestion is in a chronological shooting order. In the following, acaptured image 40 with an image number “i”, that is, the ith capturedimage 40 is written as a captured image [i].

In FIG. 4, the numbers attached above the frame images 42 included inthe moving image data are frame numbers. In the following, a frame image42 with a frame number “j”, that is, the jth frame image 42 is writtenas the frame image [j].

As shown in FIG. 4, the image processing device 10 generates movingimage data by selecting each frame image 42 constituting the movingimage data from the captured images 40.

In particular, the image processing device 10 selects each frame images42 so that a rotation angle (Δθ) of the item 30 in adjacent frame images42 is approximately constant.

In other words, each frame image 42 is selected so that an angle (Δθ)between a representative direction (e.g., front direction) of the item30 in a frame image 42 and a representative direction of the item 30 ina frame image 42 subsequent to the frame image 42 is approximatelyconstant.

In still other words, each frame image 42 is selected so that a rotationangle (Δθ) of the item 30 between a point of time when a captured image40 selected as a frame image 42 is shot and a point of time when acaptured image 40 selected as a frame image 42 subsequent to the frameimage 42 is shot is approximately constant.

In the example shown in FIG. 4, the captured image [1] is selected asthe frame image [1]. The captured image [4] is selected as the frameimage [2]. The captured image [6] is selected as the frame image [3].

Next, a constitution for implementing the generating method describedabove will be discussed. FIG. 5 is a functional block diagramillustrating functions implemented in the image processing device 10.

As shown in FIG. 5, the image processing device 10 includes a capturedimage obtaining unit 50, a feature point specifying unit 52, a positioninformation obtaining unit 54, a rotation angle information obtainingunit 56, and a moving image data generating unit 58. These functionalblocks are implemented by, for example, the control unit 11. That is,the control unit 11 executes processing according to a program, tothereby function as these functional blocks.

The captured image obtaining unit 50 will be discussed. The capturedimage obtaining unit 50 obtains a plurality of captured images 40 thatare obtained by repeatedly shooting an object while the object isrotating. In the above described example, the item 30 corresponds to the“object.”

That is, the captured image obtaining unit 50 reads captured image datastored in the storage unit 12. The captured image data may be stored ina device other than the image processing device 10. In other words, thecaptured image obtaining unit 50 may obtain captured image data storedin a device other than the image processing device 10 through acommunication network.

The feature point specifying unit 52 and the position informationobtaining unit 54 will be discussed. The feature point specifying unit52 specifies feature points in captured images 40. In a case where afeature point corresponding to the certain point on the object isspecified in a pair of captured images 40, the position informationobtaining unit 54 obtains position information of a position of thefeature point in one captured image 40 of the pair, which is shotearlier, and a position of the feature point in the other captured image40 of the pair, which is shot later.

For example, the feature point specifying unit 52 obtains positions andfeature amounts of the feature points in the captured images 40 usingknown algorithm for specifying a feature point. For example, the SURF(Speed-Up Robust Features) algorithm can be used as such an algorithm.An algorithm other than the SURF algorithm may also be utilized. Forexample, the SIFT (Scale-Invariant Feature Transform) algorithm and theBrisk (Binary Robust Invariant Scalable Keypoints) algorithm may also beutilized.

As will be discussed below, a feature point is used for obtaininginformation on a rotation angle of the item 30. As such, a feature pointincluded in an area (hereinafter “background area”) other than the areain which the item 30 is included is not necessary. Thus, the featurepoint specifying unit 52 may ignore a feature point in the backgroundarea.

For example, the feature point specifying unit 52 obtains a subtractionimage between two consecutive captured images 40. The captured image 40is a captured image of a rotating item 30, and thus, a background areaof the captured image 40 is not basically changed. As such, the featurepoint specifying unit 52 assumes an area having zero pixel value in thesubtraction image as a background area, and removes the feature pointsin this area. In other words, the feature points included in this areaare not considered in the position information obtaining unit 54 and therotation angle information obtaining unit 56.

FIG. 6 illustrates an example of a feature point specified by thefeature point specifying unit 52. In FIG. 6, a feature point 60corresponding to a nose of the beckoning cat is specified. In reality, aplurality of feature points 60 are specified in one captured image 40,but they are omitted in FIG. 6. The position of the feature point 60 isrepresented, for example, by coordinate values of an X-Y coordinatesystem, in which the upper left vertex of the captured image 40 is theorigin O, and the rightward direction and the downward direction of thecaptured image 40 are the positive X-axis direction and the positiveY-axis direction, respectively.

For example, the feature point 60 corresponding to the nose of thebeckoning cat is specified in each of the captured images 40 in whichthe nose of the beckoning cat is presented. In other words, the featurepoint 60 corresponding to the certain point on the item 30 is specifiedin the plurality of captured images 40.

FIG. 7 illustrates an example of an orbit of the feature point 60corresponding to a certain point on the item 30. For example, FIG. 7shows an orbit 70 of the feature point 60 corresponding to the nose ofthe beckoning cat. In the example shown in FIG. 3, the shooting device34 is placed in front of the turntable 20 and slightly above the item30, and thus, the orbit 70 of the feature point 60 is an ellipticalorbit as shown in FIG. 7.

Basically, the feature amount of the feature point 60 corresponding tothe nose of the beckoning cat is the same in each of the captured images40. In other words, the feature points 60 corresponding to the certainpoint on the item 30 may be specified in the plurality of capturedimages 40, but basically, the feature amounts of the feature points 60corresponding to the certain point on the item 30 is the same in each ofthe plurality of captured image 40.

Then the feature point specifying unit 52 (first determination means)determines whether or not a feature amount of a feature point 60specified in a first captured image 40 is the same or substantially thesame as a feature amount of a feature point 60 specified in a secondcaptured image 40. When a difference between the feature amounts ofthese feature points 60 is equal to or less than a threshold value, thefeature point specifying unit 52 determines the feature amounts of thesefeature points 60 are substantially the same. When the feature amountsof these feature points 60 are the same or substantially the same, thefeature point specifying unit 52 determines that these feature points 60are feature points 60 corresponding to a certain point on the item 30.

The item 30 rotates about the rotation axis 32 and the Y-axis is an axiscorresponding to the rotation axis 32, and thus, the Y-axis coordinatevalues of the feature points 60 corresponding to the certain point onthe item 30 do not differ from each other so much.

As such, the feature point specifying unit 52 (second determinationmeans) determines whether or not a difference between a Y-axiscoordinate value of a feature point 60 specified in a first capturedimage 40 and a Y-axis coordinate value of a feature point 60 specifiedin a second captured image 40 is a threshold value or more. If thedifference between the Y-axis coordinate values of these feature points60 is the threshold value or more, the feature point specifying unit 52determines that these feature points 60 are not feature points 60corresponding to a certain point on the item 30, even though the featureamounts of these feature points 60 are the same or substantially thesame.

Further, when a plurality of feature points 60 respectivelycorresponding to certain points on the item 30 are specified in a firstcaptured image 40 and a second captured image 40, change amounts ofX-axis coordinate values of each of the plurality of feature points 60are substantially the same, and are not significantly different from oneanother.

As such, as shown in FIG. 8, for example, in a case where a featurepoint 60A having the same or substantially the same feature amount inboth of a first captured image 40 and a second captured image 40, afeature point 60B having the same or substantially the same featureamount in both of the first captured image 40 and the second capturedimage 40, a feature point 60C having the same or substantially the samefeature amount in both of the first captured image 40 and the secondcaptured image 40, and a feature point 60D having the same orsubstantially the same feature amount in both of the first capturedimage 40 and the second captured image 40 are specified, the featurepoint specifying unit 52 (comparing means) compares a change amount ofthe X-axis coordinate value of the feature point 60D with change amountsof X-axis coordinate values of other feature points 60A-60C.

In the example shown in FIG. 8, the change amounts of the X-axiscoordinate values of the feature points 60A-60C are substantially thesame, and the change amount of the X-axis coordinate value of thefeature point 60D is greater than those of feature points 60A-60C. Asdescribed above, when the change amount of the X-axis coordinate valueof the feature point 60D is largely different from the change amounts ofthe X-axis coordinate values of the feature points 60A-60C like this,the feature point specifying unit 52 determines that the feature point60D is not a feature point 60 corresponding to the certain point in theitem 30. In other words, the feature point specifying unit 52 determinesthat the feature point 60D, which has an absolute value of deviation ofthe change amount of the X-axis coordinate value greater than thethreshold value, is not a feature point 60 corresponding to the certainpoint in the item 30.

The rotation angle information obtaining unit 56 will be discussed. Therotation angle information obtaining unit 56 obtains rotation angleinformation on a rotation angle of an object between the point of timewhen a first captured image 40 is shot and the point of time when asecond captured image 40 is shot, based on the position informationobtained by the position information obtaining unit 54.

“Rotation angle information” may be, for example, numerical informationindicating a rotation angle itself, or numerical information which doesnot indicate a rotation angle itself but which is in proportion to arotation angle. In other words, “rotation angle information” may benumerical information directly indicating a size of a rotation angle, ornumerical information indirectly indicating a size of a rotation angle.

FIG. 9 is a diagram for explaining a method for obtaining rotation angleinformation and a relationship between a rotation angle of the item 30and changes in X-coordinate values of a feature point 60. FIG. 9illustrates the item 30 placed on the turntable 20, viewed from rightabove.

When the item 30 rotates around the rotation axis 32, an orbit 80 of apoint 30A on the item 30 is a circular orbit centered on the rotationaxis 32. In the following, the radius of the circular orbit is writtenas “r.”

For example, in a case where the item 30 rotates only by a rotationangle θ₁, a change amount x₁ of the X-axis coordinate value of thefeature point 60 corresponding to the point 30A on the item 30 isrepresented by a below equation (1). That is, x₁ is a value obtained bymultiplying r by sin θ₁. Similarly, in a case where the item 30 rotatesonly by a rotation angle θ₂, a change amount x₂ of the X-axis coordinatevalue of the feature point 60 corresponding to the point 30A on the item30 is represented by a below equation (2). That is, x₂ is a valueobtained by multiplying r by sin θ₂.x ₁ =r sin θ₁  (1)x ₂ =r sin θ₂  (2)

The Sin function is as what is shown in FIG. 10, and then the Sinfunction can be linearly approximated at a nearby area 90 where theangle θ is zero or close to zero. As such, the above equations (1) and(2) can be approximated as below equations (3) and (4) using aproportional constant a. Further, based on equations (3) and (4), arelationship between x₁, x₂, θ₁, and θ₂ is represented by a belowequation (5).

$\begin{matrix}{x_{1} = {{r\;\sin\;\theta_{1}} \cong {{ar}\;\theta_{1}}}} & (3) \\{x_{2} = {{r\;\sin\;\theta_{2}} \cong {{ar}\;\theta_{2}}}} & (4) \\{\frac{x_{2\;}}{x_{1}} = \frac{\theta_{2}}{\theta_{1}}} & (5)\end{matrix}$

Further, x₂ and θ₂ can be represented by below equations (6) and (7).x ₂ =x ₁ +Δx  (6)θ₂=θ₁+Δθ  (7)

The above equation (5) can be modified as below equation (8). The belowequation (8) can be arranged as below equation (9). Further, based onthe above equation (3), the below equation (9) can be modified as belowequation (10). Then, below equation (11) can be obtained based on thebelow equation (10).

$\begin{matrix}{\frac{x_{1} + {\Delta\; x}}{x_{1}} = \frac{\theta_{1} + {\Delta\theta}}{\theta_{1}}} & (8) \\{\frac{\Delta\; x}{x_{1}} = \frac{\Delta\theta}{\theta_{1}}} & (9) \\{\frac{\Delta\theta}{\theta_{1}} = \frac{\Delta\; x}{{ar}\;\theta_{1}}} & (10) \\{{\Delta\theta} = \frac{\Delta\; x}{ar}} & (11)\end{matrix}$

The above equation (11) indicates that a change of the angle (Δθ) isproportional to a change of the X-axis coordinate value (Δx).Accordingly, the rotation angle (Δθ) of when the item 30 rotates has aproportional relation with the change amount (Δx) of the X-axiscoordinate value of the feature point 60 corresponding to the point 30Aon the item 30.

Now, a radius r in the equation (11) basically varies at each point onthe item 30. However, in a case where the item 30 has a cylindricalshape, the above radius r does not vary at each point on the item 30 andsubstantially the same. As such, assuming that a shape of the item 30 iscylindrical, the radius r in the equation (11) may be ignored, and thus,the change amount of the X-axis coordinate value of the feature point 60may be used as a value indicating a size of a rotation angle of the item30.

In view of the above, functions of the rotation angle informationobtaining unit 56 will be discussed in detail.

The rotation angle information obtaining unit 56 sets an observationarea in a captured image 40 based on the position of the rotation axis32 in the captured image 40. The observation area is an areacorresponding to the nearby area 90 shown in FIG. 10. FIGS. 11 and 12are diagrams for explaining a method for setting the observation area.

Firstly, the rotation angle information obtaining unit 56 extracts afeature point 60 having the minimum X-axis coordinate value and afeature point 60 having the maximum X-axis coordinate value from amongfeature points 60 in all of the captured images 40. In this case, afeature point 60 included in the background area is ignored.

In FIG. 11, the X-axis coordinate value of the feature point 60 havingthe minimum X-axis coordinate value is written as “X_(min)”, and theX-axis coordinate value of the feature point 60 having the maximumX-axis coordinate value is written as “X_(max).” The rotation angleinformation obtaining unit 56 assumes that an area where a X-axiscoordinate value satisfies X_(min)≤x≤X_(max) as an area 100 in which afeature point 60 can exist (hereinafter referred to as an “existencearea”).

Subsequently, the rotation angle information obtaining unit 56 obtains aposition of the rotation axis 32 in the captured image 40 based on theexistence area 100. As shown in FIG. 11, for example, the rotation angleinformation obtaining unit 56 assumes a straight line 102 that equallydivides the existence area 100 toward right and left as a straight linecorresponding to the rotation axis 32. In other words, the rotationangle information obtaining unit 56 assumes the straight line 102, whichpasses through the intermediate value of the X_(min) and the X_(max),((X_(min)+X_(max))/2), and is parallel to the Y-axis, as a straight linecorresponding to the rotation axis 32.

The rotation angle information obtaining unit 56 may obtain an objectarea, in which an object (item 30) is presented, in each of all thecaptured images 40. Then, the rotation angle information obtaining unit56 may assume a straight line that equally divides a sum-set area ofthose object areas toward right and left as a straight linecorresponding to the rotation axis 32.

The rotation angle information obtaining unit 56 sets an observationarea based on the straight line 102 obtained as described above. Asshown in FIG. 12, for example, the rotation angle information obtainingunit 56 sets a rectangular area with the straight line 102 passingthrough the center and having the width d as the observation area 110.In this case, the width d is set as a value smaller than a width w ofthe existence area 100.

As described later, the rotation angle information obtaining unit 56uses only a feature point 60 included in the observation area 110 inorder to obtain rotation angle information. For this reason, if a valueof the width d is too small, a number of the feature points 60 includedin the observation area 110 gets small, and thus an accuracy of therotation angle information may possibly be reduced. On the other hand,if a value of the width d is too big, the observation area 110 may notpossibly correspond to the nearby area 90 in FIG. 10. In this case, thepremise that a linear approximation of the Sin function is possible isnot satisfied, and as a result, the accuracy of the rotation angleinformation may possibly be reduced. It is preferable, to set the valueof width d as, for example, about one third of the value of width (w) ofthe existence area 100.

In a case where the feature point 60 corresponding to the certain pointon the item 30 is specified in the observation areas 110 in both of afirst captured image 40 and a second captured image 40, the rotationangle information obtaining unit 56 obtains position differenceinformation regarding a difference between a position of a feature point60 in the first captured image 40 and a position of a feature point 60in the second captured image 40.

For example, the rotation angle information obtaining unit 56 obtainsinformation regarding differences in X-axis coordinate values as theabove position difference information. As described above, the X-axis isan axis perpendicular to the Y-axis corresponding to the rotation axis32.

The rotation angle information obtaining unit 56 obtains rotation angleinformation based on the above position difference information.

For example, when a plurality of feature points 60 respectivelycorresponding to certain points on the item 30 are specified in theobservation areas 110 in both of a first captured image 40 and a secondcaptured image 40, the rotation angle information obtaining unit 56calculates a change amount of X-axis coordinate values between the firstcaptured image 40 and the second captured image 40 for each of thefeature points 60. Subsequently, the rotation angle informationobtaining unit 56 calculates statistics (e.g., average value) of thechange amounts of the respective feature points 60. In this case, suchcalculated values are used as the rotation angle information.

Alternatively, the rotation angle information obtaining unit 56 maycalculate center of gravity positions of the above feature points 60 inthe first captured image 40. Further, the rotation angle informationobtaining unit 56 may calculate center of gravity positions of the abovefeature points 60 in the second captured image 40. Then, the rotationangle information obtaining unit 56 may calculate differences in X-axiscoordinate values between those center of gravity positions. In thiscase, such calculated values are used as the rotation angle information.

The values described above correspond to numerical values representingsizes of rotation angles, but are not numerical values representing therotation angles themselves. For this reason, in the following, suchnumerical values are referred to as “pseudo-rotation angle” forconvenience.

The moving image data generating unit 58 will be discussed. The movingimage data generating unit 58 generates moving image data by selecting,from among the captured images 40, each frame images 42 of the movingimage data showing how the object rotates based on the positioninformation obtained by the position information obtaining unit 54.

For example, the moving image data generating unit 58 selects, fromamong the captured images 40, frame images 42 of the moving image datashowing how the item 30 rotates based on the rotation angle informationobtained by the rotation angle information obtaining unit 56 for each ofthe captured images 40 included in the captured image data.

Specifically, the moving image data generating unit 58 selects eachframe images 42 so that rotation angles of the item 30 between the frameimages 42 are substantially the same.

FIG. 13 is a diagram for explaining an example of a method for selectingframe images 42. In FIG. 13, for example, Δθ_(1,2) represents apseudo-rotation angle between a captured image [1] and a captured image[2]. That is, Δθ_(1,2) represents a pseudo-rotation angle of the item 30between the point of time when the captured image [1] is shot and thepoint of time when the captured image [2] is shot. For example, in acase where a plurality of feature points 60 respectively correspondingto certain points on the item 30 are specified in the observation areas110 in both of the captured image [1] and the captured image [2], anaverage value of the change amounts of the X-axis coordinate values ofthe feature points 60 between the captured image [1] and the capturedimage [2] corresponds to Δθ_(1,2).

Firstly, the moving image data generating unit 58 selects a frame image[1]. For example, the moving image data generating unit 58 selects thecaptured image [1] as the frame image [1].

Subsequently, the moving image data generating unit 58 selects a frameimage [2]. The moving image data generating unit 58 first determineswhether or not to select the captured image [2], which follows thecaptured image [1] selected as the preceding frame image [1], as theframe image [2].

In this case, the moving image data generating unit 58 compares apseudo-rotation angle Δθ_(1,2) between the captured image [1] and thecaptured image [2] with a threshold value θ_(T). In other words, themoving image data generating unit 58 determines whether thepseudo-rotation angle Δθ_(1,2) between the captured image [1] and thecaptured image [2] is equal to or more than the threshold value θ_(T).The threshold value θ_(T) is a proper pseudo-rotation angle as apseudo-rotation angle between the frame images 42, and is determined inadvance.

If the pseudo-rotation angle Δθ_(1,2) is equal to or more than thethreshold value θ_(T), the moving image data generating unit 58 selectsthe captured image [2] as the frame image [2]. On the other hand, asshown in FIG. 13, if the pseudo-rotation angle Δθ_(1,2) is less than thethreshold value θ_(T), the moving image data generating unit 58 does notselect the captured image [2] as the frame image [2].

If the captured image [2] is not selected as the frame image [2], themoving image data generating unit 58 determines whether or not to selectthe following captured image [3] as the frame image [2].

In this case, the moving image data generating unit 58 compares acumulative pseudo-rotation angle between the captured image [1] selectedas the preceding frame image [1] and the captured image [3] with thethreshold value θ_(T). That is, the moving image data generating unit 58determines whether the sum of the pseudo-rotation angle Δθ_(1,2) betweenthe captured images [1] and [2] and the pseudo-rotation angle Δθ_(2,3)between the captured images [2] and [3] is equal to or more than thethreshold value θ_(T). In this case, the sum corresponds to a numericalvalue indicating a size of the rotation angle of the item 30 between thepoint of time when the captured image [1] is shot and the point of timewhen the captured image [3] is shot.

If the sum of the pseudo-rotation angles Δθ_(1,2) and Δθ_(2,3) is equalto or more than the threshold value θ_(T), the moving image datagenerating unit 58 selects the captured image [3] as the frame image[2]. On the other hand, as shown in FIG. 13, the sum of thepseudo-rotation angles Δθ_(1,2) and Δθ_(2,3) is less than the thresholdvalue θ_(T), the moving image data generating unit 58 does not selectthe captured image [3] as the frame image [2].

In a case where the captured image [3] is not selected as the frameimage [2], the moving image data generating unit 58 determines whetheror not to select the following captured image [4] as the frame image[2].

In this case, the moving image data generating unit 58 determineswhether the cumulative pseudo-rotation angle between the captured image[1] selected as the preceding frame image [1] and the captured image [4]is equal to or more than the threshold value θ_(T). That is, the movingimage data generating unit 58 determines whether the sum of thepseudo-rotation angle Δθ_(1,2) between the captured images [1] and [2],the pseudo-rotation angle Δθ_(2,3) between the captured images [2] and[3], and the pseudo-rotation angle Δθ_(3,4) between the captured images[3] and [4] is equal to or more than the threshold value θ_(T). In thiscase, the sum corresponds to a numerical value indicating a size of therotation angle of the item 30 between the point of time when thecaptured image [1] is shot and the point of time when the captured image[4] is shot.

As shown in FIG. 13, if the sum of the pseudo-rotation angles Δθ_(1,2),Δθ_(2,3), and Δθ_(3,4) is equal to or more than the threshold valueθ_(T), the moving image data generating unit 58 selects the capturedimage [4] as the frame image [2].

After selecting the frame image [2], the moving image data generatingunit 58 selects the frame [3]. The moving image data generating unit 58first determines whether or not to select the captured image [5], whichfollows the captured image [4] selected as the preceding frame image[2], as the frame image [3].

In this case, the moving image data generating unit 58 determineswhether the pseudo-rotation angle Δθ_(4,5) between the captured image[4] and the captured image [5] is equal to or more than the thresholdvalue θ_(T). If the pseudo-rotation angle Δθ_(4,5) is equal to or morethan the threshold value θ_(T), the moving image data generating unit 58selects the captured image [5] as the frame image [3]. On the otherhand, as shown in FIG. 13, if the pseudo-rotation angle Δθ_(4,5) is lessthan the threshold value θ_(T), the moving image data generating unit 58does not select the captured image [5] as the frame image [3].

If the captured image [5] is not selected as the frame image [3], themoving image data generating unit 58 determines whether or not to selectthe following captured image [6] as the frame image [3].

In this case, the moving image data generating unit 58 determineswhether the cumulative pseudo-rotation angle between the captured image[4] selected as the preceding frame image [2] and the captured image [6]is equal to or more than the threshold value θ_(T). That is, the movingimage data generating unit 58 determines whether the sum of thepseudo-rotation angle Δθ_(4,5) between the captured images [4] and [5]and the pseudo-rotation angle Δθ_(5,6) between the captured images [5]and [6] is equal to or more than the threshold value θ_(T).

As shown in FIG. 13, if the sum of the pseudo-rotation angles Δθ_(4,5)and Δθ_(5,6) is equal to or more than the threshold value θ_(T), themoving image data generating unit 58 selects the captured image [6] asthe frame image [3].

As described above, if a captured image [i] is selected as a frame image[j], the moving image data generating unit 58 determines whether thecumulative pseudo-rotation angle between the captured image [i] and thecaptured image [i+1] is equal to or more than the threshold value θ_(T)in order to determine whether or not to select the captured image [i+1]as the frame image [j+1].

If the cumulative pseudo-rotation angle is equal to or more than thethreshold value θ_(T), the moving image data generating unit 58 selectsthe captured image [i+1] as the frame image [j+1]. On the other hand, ifthe cumulative pseudo-rotation angle is less than the threshold valueθ_(T), the moving image data generating unit 58 does not select thecaptured image [i+1] as the frame image [j+1]. In this case, the movingimage data generating unit 58 determines whether the cumulativepseudo-rotation angle between the captured image [i] and the capturedimage [i+2] is equal to or more than the threshold value θ_(T) in orderto determine whether or not to select the captured image [i+2] as theframe image [j+1].

In this way, the moving image data generating unit 58 searches for afirst captured image 40 having a value of the cumulative pseudo-rotationangle between itself and the captured image [i] equal to or more thanthe threshold value θ_(T). For example, if the cumulativepseudo-rotation angle between the captured image [i] and the capturedimage [i+k] (k: an integer of 1 or more) is the threshold value θ_(T),the moving image data generating unit 58 selects the captured image[i+k] as the frame image [j+1].

As described above, the moving image data generating unit 58 selectseach frame image 42 of the moving image data.

A method for selecting the frame images 42 is not limited to the exampleillustrated in FIG. 13. Other examples of selecting the frame images 42will be discussed below.

Now, the first example will be discussed. FIG. 14 is a diagram forexplaining the first example. Here, a case is assumed in which, afterthe captured image [i] is selected as the frame image [j], if thecaptured image [i+1] is not selected as the frame image [j+1], it isdetermined whether or not to select the captured image [i+k] (k: aninteger of 2 or more) as the frame image [j+1].

In this case, in the selecting method shown in FIG. 13, it is configuredto determine whether the cumulative pseudo-rotation angle between thecaptured image [i] selected as the preceding frame image [j] and thecaptured image [i+k] is equal to or more than the threshold value θ_(T).That is, in the selecting method shown in FIG. 13, it is configured todetermine whether the cumulative pseudo-rotation angle Δθ_(i,i+1)+ . . .+Δθ_(i+k−1,i+k) between the captured image [i] and the captured image[i+k] is equal to or more than the threshold value θ_(T).

On the other hand, in the selecting method shown in FIG. 14, changeamounts of the X-axis coordinate values of the feature points 60corresponding to the certain point on the item 30 are calculated betweenthe captured image [i] and the captured image [i+k], and based on thecalculated change amounts, the pseudo-rotation angle Δθ_(i,i+k) betweenthe captured image [i] and the captured image [i+k] is calculated.

That is, for example, in a case where a plurality of feature points 60respectively corresponding to certain points on the item 30 arespecified in the observation areas 110 in both of the captured image [i]and the captured image [i+k], an average value of the change amounts ofthe X-axis coordinate values of the feature points 60 is calculated asthe pseudo-rotation angle Δθ_(i,i+k), and it is determined whether thepseudo-rotation angle Δθ_(i,i+k) is equal to or more than the thresholdvalue θ_(T).

The second example will be discussed. Here, a case is also discussed inwhich, after the captured image [i] is selected as the frame image [j],it is determined whether or not to select the captured image [i+k] asthe frame image [j+1].

In this case, it may be determined whether the cumulativepseudo-rotation angle between the captured image [1] selected as thefirst frame image [1] and the captured image [i+k] (or pseudo-rotationangle θ_(1,i+k)) is equal to or more than θ_(T)*j. Then, if thecumulative pseudo-rotation angle (or the pseudo-rotation angleθ_(1,i+k)) is equal to or more than θ_(T)*j, the captured image [i+k]may be selected as the frame image [j+1].

The third example will be discussed. FIG. 15 is a diagram for explainingthe third example. Here, a case is assumed in which, after the capturedimage [i] is selected as the frame image [j], it is determined whetheror not to select the captured image [i+3] as the frame image [j+1].

In the selecting method shown in FIG. 13, in a case where the cumulativepseudo-rotation angle between the captured image [i] and the capturedimage [i+3] is equal to or more than the threshold value θ_(T), thecaptured image [i+3] is selected as the frame image [j+1]. Further, inthe selecting method shown in FIG. 14, in a case where thepseudo-rotation angle θ_(i,i+3) between the captured image [i] and thecaptured image [i+3] is equal to or more than the threshold value θ_(T),the captured image [i+3] is selected as the frame image [j+1]. Also inthe second example, in a case where the cumulative pseudo-rotation anglebetween the captured image [1] and the captured image [i+3] (orpseudo-rotation angle θ_(1,i+3)) is equal to or more than θ_(T)*j, thecaptured image [i+3] is selected as the frame image [j+1].

However, in this case, either one of the captured image [i+3] and thecaptured image [i+2] immediately before the captured image [i+3] may beselectively selected as the frame image [j+1].

For example, in the case of the selecting method shown in FIG. 13, inthe above described case, the moving image data generating unit 58determines which one of the cumulative pseudo-rotation angleΔθ_(i,i+1)+Δθ_(i+1,i+2) between the captured image [i] and the capturedimage [i+2] and the cumulative pseudo-rotation angleΔθ_(i,i+1)+Δθ_(i+1,i+2)+Δθ_(i+2,i+3) between the captured image [i] andthe captured image [i+3] is closer to the threshold value θ_(T). Themoving image data generating unit 58 determines, for example, whetherthe intermediate value of these cumulative pseudo-rotation angles isless than the threshold value θ_(T). In other words, the moving imagedata generating unit 58 determines whether the intermediate value of thecumulative pseudo-rotation angles,((Δθ_(i,i+1)+Δθ_(i+1,i+2))+(Δθ_(i,i+1)+Δθ_(i+1,i+2)+Δθ_(i+2,i+3)))/2, isless than the threshold value θ_(T).

As shown in FIG. 15, if the intermediate value is greater than thethreshold value θ_(T), the cumulative pseudo-rotation angle between thecaptured image [i] and the captured image [i+2] is closer to thethreshold value θ_(T), and thus the moving image data generating unit 58selects the captured image [i+2] as the frame image [j+1]. On the otherhand, if the intermediate value is less than the threshold value θ_(T),the cumulative pseudo-rotation angle between the captured image [i] andthe captured image [i+3] is closer to the threshold value θ_(T), andthus the moving image data generating unit 58 selects the captured image[i+3] as the frame image [j+1].

Further, in the selecting method shown in FIG. 14, the moving image datagenerating unit 58 determines which one of the pseudo-rotation anglebetween the captured image [i] and the captured image [i+2], θ_(i,i+2),and the pseudo-rotation angle between the captured image [i] and thecaptured image [i+3], θ_(i,i+3), is closer to the threshold value θ_(T).For example, the moving image data generating unit 58 determines whetherthe intermediate value of these pseudo-rotation angles,(Δθ_(i,i+2)+Δθ_(i,i+3))/2, is less than the threshold value θ_(T).

As shown in FIG. 15, if the intermediate value is greater than thethreshold value θ_(T), the pseudo-rotation angle between the capturedimage [i] and the captured image [i+2], θ_(i,i+2), is closer to thethreshold value θ_(T), and thus the moving image data generating unit 58selects the captured image [i+2] as the frame image [j+1]. On the otherhand, if the intermediate value is less than the threshold value θ_(T),the pseudo-rotation angle between the captured image [i] and thecaptured image [i+3], θ_(i,i+3), is closer to the threshold value θ_(T),and thus the moving image data generating unit 58 selects the capturedimage [i+3] as the frame image [j+1].

In this way, the item 30 rotates more smoothly in the moving image data.If the intermediate value is equal to the threshold value θ_(T), themoving image data generating unit 58 may select either one of thecaptured image [i+2] and the captured image [i+3] as the frame image[j+1].

Next, the processing executed in the image processing device 10 toimplement the functional blocks shown in FIG. 5 will be discussed. FIGS.16 and 17 are flow charts showing an example of the processing executedin the image processing device 10 in order to generate moving image dataof the item 30 rotating once based on captured data. The processingshown in FIGS. 16 and 17 corresponds to a selecting methods made bycombining the selection methods shown in FIGS. 13 and 15. The controlunit 11 executes the processing shown in FIGS. 16 and 17 according to aprogram, to thereby operate as the functional blocks shown in FIG. 5.

As shown in FIG. 16, the control unit 11 extracts captured image datacorresponding to one rotation of the item 30 from the captured imagedata in order to generate moving image data of one rotation of the item30 (S101). FIG. 18 is a diagram illustrating an outline of theprocessing of step S101, and FIG. 19 is a flow chart showing details ofthe processing of step S101.

As shown in FIG. 18, the control unit 11 searches for a captured image40 at the point of time when the item 30 completes one rotation fromamong the captured images 40 included in the captured image data. Thecaptured image 40 at the point of time when the item 30 completes onerotation is supposed to be an image that is the same or substantiallythe same as the captured image 40 immediately before the item 30 startsto rotate (hereinafter “reference captured image”) and is shot after acertain period of time has passed since the reference captured image isshot. As such, if the captured image [i] satisfies both of the followingconditions (A) and (B), it can be assumed that the captured image [i]corresponds to the captured image 40 at the point of time when the item30 completes one rotation. For example, the first captured image 40 fromamong the captured images 40 included in the captured image data is setas “reference captured image.”

(A) The reference captured image is the same or substantially the sameas the captured image [i]. In other words, the similarity between thereference captured image and the captured image [i] is extremely high.

(B) The point of time when the reference captured image is shot and thepoint of time when the captured image [i] is shot are separated fromeach other for a predetermined period of time or more. In other words, adifference between the image number of the reference captured image andthe image number of the captured image [i] is equal to or more than thethreshold value (IT).

“Predetermined period of time” and “threshold value (IT)” in the abovecondition (B) are determined in view of an average time required for theitem 30 to complete one rotation.

As described above, the control unit 11 searches for a captured image 40that satisfies both of the conditions (A) and (B) from among thecaptured image data, to thereby find out a captured image 40 at thepoint of time when the item 30 completes one rotation. The control unit11 then extracts images, starting from the reference captured image tosuch a captured image 40, as captured image data of one rotation of theitem 30. In the processing shown in FIG. 19, a captured image 40 thatsatisfies both of the conditions (A) and (B) is searched in the orderfrom the last captured image 40 to the first captured image 40. Here,the first captured image 40 is set as the reference captured image.

In the processing shown in FIG. 19, the control unit 11 firstly obtainsthe total number N of captured images 40 included in the captured imagedata (S201). The control unit 11 then substitutes the total number N fora variable i (S202). Further, the control unit 11 set a value obtainedby multiplying the total number N by a predetermined coefficient α (α:0<α<1, e.g., ⅓) as a threshold value I_(T) (S203). The control unit 11may set a predetermined fixed value as a threshold value I_(T).

Subsequently, the control unit 11 determines whether the captured image[1] and the captured image [i] are the same or substantially the samewith each other (S204). That is, the control unit 11 determines whetherthe similarity between the captured image [1] and the captured image [i]is extremely high.

For example, in a case where a plurality of feature points 60respectively corresponding to certain points on the item 30 arespecified in both of the captured image [1] and the captured image [i],the control unit 11 determines whether the number of such feature points60 is greater than a predetermined threshold value.

If the number is greater than the threshold value, the control unit 11generates a subtraction image between the captured image [1] and thecaptured image [i], and calculates a total value of pixel values of thesubtraction image. In this case, when the total value is smaller, thesimilarity between the captured image [1] and the captured image [i] ishigher. As such, the control unit 11 determines whether the total valueis less than the predetermined threshold value.

If the total value is less than the threshold value, the control unit 11determines that captured image [1] and the captured image [i] are thesame or substantially the same. On the other hand, when the number isless than the threshold value or when the total value is equal to ormore than the threshold value, the control unit 11 determines that thecaptured image [1] and the captured image [i] are not the same orsubstantially the same.

In the determining method as described above, for example, a subtractionimage is generated only when the above number is greater than thethreshold value, and, as a result, the processing load can be reduced.However, the method for determining whether the captured image [1] andthe captured image [i] are the same or substantially the same is notlimited to the above method. In the above described method, it isconfigured to consider the number of feature points 60, but it may beconfigured not to consider the number of feature points 60.Alternatively, a known method other than the above described method mayalso be applied.

If the captured image [1] and the captured image [i] are not the same orsubstantially the same (S204: N), the control unit 11 subtracts 1 fromthe value of variable i (S205), and determines whether the value ofvariable i is less than the threshold value I_(T) (S206). If the valueof variable i is not less than the threshold value I_(T) (S206: N), thecontrol unit 11 executes step S204.

On the other hand, if the captured image [1] and the captured image [i]are the same or substantially the same (S204: Y), the control unit 11extracts captured images [1] to [i] as captured image data of onerotation (S208). That is, the control unit 11 uses the captured images[1] to [i] in the processing described later (S102-S120). In this case,captured images 40 from and after the captured image [i+1] are removed.

In step S206, in a case where it is determined that the value ofvariable i is less than the threshold value I_(T), the control unit 11extracts the captured images [1] to [N] (S207). The case where it isdetermined that the value of variable i is less than the threshold valueI_(T) in step S206 is a case where there is no captured image 40 thatsatisfies both of the conditions (A) and (B). In this case, the controlunit 11 uses all of the captured images 40 included in the capturedimage data in the processing described later (S102-S120).

Instead of executing steps S204-S208, a captured image 40, thesimilarity between which and the captured image [1] is the highest amongthe captured images [I_(T)] to [N], may be searched. Then, the capturedimages, starting from the first captured image 40 to the captured image40 that has been found, may be extracted as data of one rotation.

As shown in FIG. 16, after step S101 is executed, the control unit 11reads the captured image [1] (S102), and specifies feature points 60 inthe captured image [1] (S103). Further, the control unit 11 selects thecaptured image [1] as the frame image [1] (S104).

Subsequently, the control unit 11 initializes the variable s to 0, thevariables i and j to 2, and the variable k to 1 (S105). The variable sis used to calculate a cumulative pseudo-rotation angle. The variable irepresents an image number of a captured image 40 to be processed, andthe variable j represents a frame number of a frame image 42 to beselected. The variable k represents an image number of the capturedimage 40 selected as the frame image [j−1].

After step S105 is executed, the control unit 11 reads the capturedimage [i] (S106), and specifies feature points 60 in the captured image[i] (S107). A result of the specification in step S107 is stored in thestorage unit 12.

After step S107 is executed, the control unit 11 calculates thepseudo-rotation angle Δθ_(i−1,i) between the captured image [i−1] andthe captured image [i] (S108), and adds the pseudo-rotation angleΔθ_(i−1,i) to the variable s (S109). The control unit 11 then determineswhether the variable s is equal to or more than the threshold valueθ_(T) (S110).

If the variable s is not equal to or more than the threshold value θ_(T)(S110: N), as shown in FIG. 17, the control unit 11 adds 1 to thevariable i (S119), and determines whether there is a captured image [i](S120). If there is a captured image [i] (S120: Y), the control unit 11executes step S106.

On the other hand, if the variable s is equal to or more than thethreshold value θ_(T) (S110: Y), as shown in FIG. 17, the control unit11 calculates an intermediate value, (s_(k,i−1)+s_(k,i))/2, of thecumulative pseudo-rotation angle between the captured image [k] selectedas the frame image [j] and the captured image [i−1] and the cumulativepseudo-rotation angle s_(k,i) between the captured image [k] and thecaptured image [i], and determines whether the intermediate value isequal to or less than the threshold value θ_(T) (S111).

If the intermediate value is equal to or less than the threshold valueθ_(T) (S111: Y), the control unit 11 selects the captured image [i] asthe frame image [j] (S112). In this case, the control unit 11 substitutethe value of variable i into the variable k (S113), and adds 1 to thevariable i (S114). The control unit 11 then determines whether there isa captured image [i] (S115). If there is a captured image [i] (S115: Y),the control unit 11 adds 1 to the variable j (S118), and executes stepS106.

On the other hand, if the intermediate value is greater than thethreshold value θ_(T) (S111: N), the control unit 11 selects thecaptured image [i−1] as the frame image [j] (S116). In this case, thecontrol unit 11 substitutes the value, which is obtained by subtracting1 from the value of variable i, into the variable k (S117). The controlunit 11 then adds 1 to the variable j (S118), and executes step S106.

If it is determined that there is no captured image [i] in step S115 orS120, the control unit 11 terminates the processing. In this case,moving image data including the frame images [1] to [j] is generated asmoving image data that shows the item 30 that rotates once.

The processing executed in the image processing device 10 is not limitedto the processing shown in FIGS. 16 and 17.

For example, steps S111, S116, and S117 in FIG. 17 may be removed. Thatis, it may be configured that if it is determined that the variable s isequal to or more than the threshold value θ_(T) in step S110, steps S112to S115 are always executed. In this case, the selecting method shown inFIG. 13 is executed.

Moreover, for example, instead of executing steps S108 and S109 in FIG.16, the control unit 11 may calculate a pseudo-rotation angle betweenthe captured image [k] and the captured image [i], θ_(k,i). And in stepS110, it may be determined whether the pseudo-rotation angle θ_(k,i) isequal to or more than the threshold value θ_(T). In this case, theselecting method shown in FIG. 14 is executed.

Alternatively, for example, step S101 in FIG. 16 may be skipped and theprocessing shown in FIG. 20 may be executed instead of the processingshown in FIG. 17. The processing shown in FIG. 20 is different from theprocessing shown in FIG. 17 at the point that it includes steps S121 toS124.

In the processing shown in FIG. 20, after steps S113 and S117 areexecuted, the control unit 11 executes processing for determiningwhether the captured image 40 selected as the frame image [j]corresponds to the captured image 40 at the point of time when the item30 has completed one rotation (steps S121-S124).

That is, after step S113 is executed, the control unit 11 determineswhether the value of variable i is equal to or more than the thresholdvalue I_(T) (S121). The threshold value I_(T) is the same as the one instep S206 of FIG. 19.

If the value of variable i is not equal to or more than the thresholdvalue I_(T) (S121: N), the control unit 11 executes step S114. On theother hand, if the value of variable i is equal to or more than thethreshold value I_(T) (S121: Y), the control unit 11 determines whetherthe frame image [1] and the frame image [j] are the same orsubstantially the same (S122). This processing is the same as the one instep S204 of FIG. 19.

If it is determined that the frame image [1] and the frame image [j] arenot the same or substantially the same (S122: N), the control unit 11executes step S114. On the other hand, if it is determined that theframe image [1] and the frame image [j] are the same or substantiallythe same (S122: Y), the control unit 11 terminates the processing. Inthis case, moving image data including the frame images [1] to [j] isgenerated as moving image data that shows the item 30 that rotates once.

After step S117 is executed, the control unit 11 determines whether thevalue obtained by subtracting 1 from the value of variable i is equal toor more than the threshold value I_(T) (S123). If the value obtained bysubtracting 1 from the value of variable i is not equal to or more thanthe threshold value I_(T) (S123: N), the control unit 11 executes stepS118. On the other hand, if the value obtained by subtracting 1 from thevalue of variable i is equal to or more than the threshold value I_(T)(S123: Y), the control unit 11 determines whether the frame image [1]and the frame image [j] are the same or substantially the same (S124).

If it is determined that the frame image [1] and the frame image [j] arenot the same or substantially the same (S124: N), the control unit 11executes step S118. On the other hand, if it is determined that theframe image [1] and the frame image [j] are the same or substantiallythe same (S124: Y), the control unit 11 terminates the processing. Inthis case, moving image data including the frame images [1] to [j] isgenerated as moving image data that shows the item 30 that rotates once.

With the manner described above, moving image data of the item 30 thatrotates once can also be generated.

Instead of executing steps S121 to S124, it may be configured that theprocessing shown in FIG. 21 is executed in a case where it is determinedthat there is no captured image [i] in step S115 or S120. The processingshown in FIG. 21 is processing for extracting moving image data of onerotation from among the frame images [1] to [j] included in thegenerated moving image data.

In the processing shown in FIG. 21, the control unit 11 substitutes thevalue of variable j into the variable h (S301), and sets a valueobtained by multiplying the variable j by a coefficient α (0<α<1: e.g.,⅓) as a threshold value H_(T) (S302). The threshold value H_(T)corresponds to the threshold value I_(T) in FIGS. 19 and 20.

Subsequently, the control unit 11 determines whether the frame image [1]and the frame image [h] are the same or substantially the same (S303).This processing is the same as the one in step S204 of FIG. 19.

If the frame image [1] and the frame image [h] are not the same orsubstantially the same (S303: N), the control unit 11 subtracts 1 fromthe value of variable h (S304). The control unit 11 then determineswhether the value of variable h is less than the threshold value H_(T)(S305). If the value of variable h is not less than the threshold valueH_(T) (S305: N), the control unit 11 executes step S303.

On the other hand, if the frame image [1] and the frame image [h] arethe same or substantially the same (S303: Y), the control unit 11extracts the frame images [1] to [h] as moving image data of the item 30that rotates once (S307). In this regard, the frame images [1] to [h]are obtained from the once selected frame images [1] to [j] as themoving image data of the item 30 that rotates once. In this case, theframe images [h+1] to [j] are removed.

In a case where the value of variable h is less than the threshold valueH_(T) (S305: Y), the control unit 11 extracts the frame images [1] to[j] (S306). The case where it is determined that the value of variablehis less than the threshold value H_(T) in step S306 is a case where aframe image 42 corresponding to the image of the point of time when theitem 30 completes one rotation could not be found. In this case, thecontrol unit 11 extracts the frame images [1] to [j] as moving imagedata of the item 30.

The moving image data of the item 30 that rotates once can be generatedalso by executing the processing shown in FIG. 21 instead of theprocessing shown in FIG. 20.

In the processing shown in FIG. 21, a frame image 42 having the highestsimilarly to the frame image [1] among the frame images [HT] to [j] maybe searched. Then, the moving image data of the images, starting fromthe first frame image 42 to the frame image 42 that has been found, maybe obtained as moving image data of the item 30 that rotates once. Inthis manner, the moving image data of the item 30 that rotates once canalso be generated.

Using the image processing device 10 described above, it is possible toobtain moving image data in which a rotation angle of the item 30 isapproximately constant for each frame based on captured image dataobtained by shooting the item 30 rotating at a non-constant angularvelocity. Further, using the image processing device 10, it is possibleto obtain moving image data of one rotation.

The present invention is not to be limited to the above describedembodiment.

[1] In the above, the explanation has been given based on the assumptionthat the shape of the item 30 is substantially cylindrical, and a radiusr of an orbit 80 of each point on the item 30 (circular orbit) is allthe same. However, the shape of the item 30 is not limited to asubstantially cylindrical shape. In a case where the shape of the item30 is not substantially cylindrical, the radius r varies at each point,and thus an error may possibly be large if the radius r is assumed to beall the same. As such, the image processing device 10 may have aconfiguration to suppress occurrence of such an inconvenience.

[1-1] For example, the rotation angle information obtaining unit 56 maybe configured to use a feature point 60 having a large radius r inpreference to a feature point 60 having a small radius r in order toobtain rotation angle information.

[1-1-1] For example, the rotation angle information obtaining unit 56may be configured to use only the feature point 60 having a large radiusr to obtain rotation angle information, and not to use the feature point60 having a large radius r, to obtain rotation angle information.

For example, it can be said that a feature point 60 that passes throughboth inside and outside the observation area 110 corresponds to a pointon the item 30 (feature point 60) having a relatively large radius r. Assuch, it can be configured that, by using only such a feature point 60to obtain rotation angle information, only a feature point 60 having arelatively large radius r is used to obtain rotation angle information.

In this case, it is enough to determine whether the feature point 60moves into the observation area 110 from outside the observation area110, and not necessary to calculate the radius r, and hence an increaseof the processing load can be suppressed.

[1-1-2] As a matter of course, the rotation angle information obtainingunit 56 (rotation radius information obtaining means) may be configuredto calculate a radius r (rotation radius information) for each featurepoint 60. And, the rotation angle information obtaining unit 56 may beconfigured to use only a feature point 60 having a radius r larger thana threshold value in order to obtain rotation angle information, and notto use a feature point 60 having a radius r equal to or less than athreshold value in order to obtain rotation angle information.

[1-2] Further, for example, the rotation angle information obtainingunit 56 (rotation radius information obtaining means) may calculate aradius r (rotation radius information) for each feature point 60. And,the rotation angle information obtaining unit 56 may calculate apseudo-rotation angle (rotation angle information) of a feature point 60in accordance with the equation (11), based on a change amount of theX-axis coordinate value of the feature point 60 (position differenceinformation) and the radius r of the feature point 60 in question(rotation radius information). Then, the rotation angle informationobtaining unit 56 may use a statistical value (e.g., average value) ofthe pseudo-rotation angle calculated this way as the pseudo-rotationangle of the item 30.

In the variations 1-1-2 and 1-2 described above, a radius r needs to becalculated. As such, a method for calculating the radius r (rotationradius information) will be discussed.

For example, the rotation angle information obtaining unit 56 (rotationradius information obtaining means) may obtain elliptical orbitinformation relating to an orbit 70 (elliptical orbit) of a featurepoint 60 corresponding to a certain point on the item 30, and calculatethe radius r based on the elliptical orbit information. For example, therotation angle information obtaining unit 56 estimates the radius rbased on at least one of major and minor diameters of the orbit 70. Therotation angle information obtaining unit 56 obtains, for example, onehalf of the major diameter of the orbit 70 as the radius r.

If the feature point 60 corresponding to the certain point on the item30 is specified in at least three of the captured images 40, ellipticalorbit information relating to the orbit 70 of the feature points 60 canbe obtained. In this case, an accuracy of calculating the orbit 70 maybe enhanced as described below.

In a case where an orbit 70 is calculated for each of the feature points60 respectively corresponding to the certain points on the item 30, thecenter points of these orbits 70 match and they should be concentricellipses. As such, the rotation angle information obtaining unit 56 canbe configured so as not to use an orbit 70 that has a center point notmatching those of the other orbits 70 and is not concentric with otherorbits 70.

If the feature point 60 corresponding to a certain point on the item 30is specified in four or more of the captured images 40, the rotationangle information obtaining unit 56 may obtain a plurality ofcombinations of three positions of the feature points 60. Further, therotation angle information obtaining unit 56 may calculate a pluralityof orbits 70 respectively corresponding to the combinations. Therotation angle information obtaining unit 56 then may obtain an averageof each of the center points and major and minor diameters of the orbits70 calculated as above as the center point and major and minor diametersof the orbit 70 of the feature point 60. In this way, it is alsopossible to enhance an accuracy of calculating the orbit 70.

The following method may also be adapted instead of the method describedabove.

For example, in a case where the feature point 60 corresponding to acertain point on the item 30 is first specified in a captured image [i](i: an integer of 1 or more) and specified last in a captured image [j](j: an integer greater than i), the rotation angle information obtainingunit 56 (rotation radius information obtaining means) may obtain theradius r based on positions of the feature point 60 in the capturedimages [i] and [j].

For example, if the positions of the feature point 60 in the capturedimages [i] and [j] are both included in an edge area of the existencearea 100, the rotation angle information obtaining unit 56 may obtainone half of the length of a straight line connecting the positions ofthe feature point 60 in question in the captured images [i] and [j] asthe radius r. In this regard, the “edge area” is an area within apredetermined distance from the edge of the existence area 100.

Alternatively, the rotation angle information obtaining unit 56 mayobtain one half of the difference in the X-axis coordinate values of thefeature point 60 between the captured images [i] and [j] as the radiusr.

By the way, the pattern on the item 30 deforms around the edge of theexistence area 100, and thus a feature amount of a feature point 60corresponding to the pattern part is different between a case where thefeature point 60 is positioned at the center area of the existence area100 and a case where the feature point 60 is positioned at the edge areaof the existence area 100. Accordingly, in a case where the featurepoint 60 corresponding to the pattern part is positioned at the edgearea of the existence area 100, such a feature point 60 could berecognized as being different from the feature point 60 corresponding tothe pattern part. Further, when the shooting device 34 and the item 30are close, there is a case where 180 degrees rotation of the patternpart of the item 30 is not imaged, and only a rotation of an angle lessthan 180 degrees is imaged. Considering this, the calculation methodmentioned previously has an accuracy higher than that of thiscalculation method. However, this calculation method does not require acalculation of an elliptical orbit, and thus can reduce the processingload compared to the calculation method mentioned previously.

[2] In the above described embodiment, for example, the threshold valueθ_(T) is set in advance, but the threshold value θ_(T) may bedynamically set.

[2-1] For example, the threshold value θ_(T) may be determined, based onthe number of captured images 40 that serve as a basis for generatingmoving image data. The threshold value θ_(T) may be set in a way that,as the number of the captured images 40 corresponding to one rotation ofthe item 30 is greater, the threshold value θ_(T) is smaller. In thiscase, it may be configured that correspondence relation informationindicating the correspondence relation of the number of captured images40 and the threshold value θ_(T) is stored in the storage unit 12, andthis threshold value θ_(T) is set based on the correspondence relationinformation.

As the threshold value θ_(T) is smaller, the moving image data becomessmoother. In this regard, with the manner described above, the thresholdvalue θ_(T) can be reduced in accordance with captured data, and thusthe moving image data can be smoothed as much as possible.

[2-2] Further, for example, the threshold value θ_(T) may be changed,when frame images 42 are not selected enough. FIG. 22 is a diagram forexplaining this variation.

In this variation, firstly, the control unit 11 sets the threshold valueθ_(T) to a relatively small value. The control unit 11 then selectsframe images 42 so that a rotation angle between the adjacent frameimages 42 is the threshold value θ_(T).

In this case, the control unit 11 determines whether the frame images 42have been selected so that the rotation angle between the adjacent frameimages 42 is the threshold value θ_(T). For example, if a differencebetween the pseudo-rotation angle between the frame image [j] and theframe image [j+1] and the threshold value θ_(T) is within apredetermined range, the control unit 11 assumes that the frame images42 have been selected so that the rotation angle between the adjacentframe images 42 is the threshold value θ_(T). Specifically, if thepseudo-rotation angle is within a range of plus or minus 20% of thethreshold value θ_(T), the control unit 11 assumes that the frame images42 have been selected so that the rotation angle between the adjacentframe images 42 is the threshold value θ_(T).

Further, in this case, as shown in the frame images [2] and ^(┌) 6┘ inFIG. 22(A), when the frame images 42 have not been selected so that therotation angle between the adjacent frame images 42 is the thresholdvalue θ_(T), the control unit 11 increases the threshold value θ_(T) asshown in FIG. 22(B), and selects the frame images 42 based on theupdated threshold value θ_(T). Such a processing is repeated until allof the frame images 42 are selected so that the rotation angle betweenthe adjacent frame images 42 is the threshold value θ_(T).

In this way, the threshold value θ_(T) can also be reduced in accordancewith captured image data, and thus the moving image data can be smoothedas much as possible.

[2-3] It may be configured that the captured image data corresponding tomultiple rotations is obtained in advance, and a frame image 42, whichhas not been obtained from the captured image data of the firstrotation, is obtained from the captured image data of the second andfollowing rotations. The captured data of the second and followingrotations can be extracted in the same way as the captured data of thefirst rotation is extracted.

For example, in the example shown in FIG. 22(A), the frame image [2],the pseudo-rotation angle between which and the frame image [1] isΔθ_(T), has not been selected. In this case, a frame image 42, thepseudo-rotation angle between which and the frame image [1] is Δθ_(T),may be searched from the captured image data of the second and followingrotations.

Then, it may be configured that the threshold value θ_(T) is increasedas shown in FIG. 22(B) only when a frame image 42, the pseudo-rotationangle between which and the frame image [1] is Δθ_(T), cannot be foundfrom the captured image data of the second and following rotations.

[3] For example, in a case where the shape of item 30 is rotationallysymmetric to the rotation axis 32, and only a part of the item 30 (e.g.,obverse side) has letters, designs, or patterns, the captured images 40does not change while the part with letters etc. is not covered by theshooting device 34. In this case, a feature point 60 corresponding to acertain point on the item 30 cannot be specified, and as a result, achange amount of X-axis coordinate values of the feature point 60 cannotbe obtained.

FIG. 23 is a diagram for explaining the processing for addressing theinconvenience as mentioned above. FIG. 23 illustrates a case where afeature point 60 corresponding to a certain point on the item 30 is notspecified in captured images [m+1] to [m+n] from among captured images[1] to [m+n] included in the captured image data of one rotation.

In this case, the control unit 11 obtains the number of captured images40 that are selected from the captured images [1] to [m] as frame images42. In the example of FIG. 23, the number is p.

Then the control unit 11 selects the frame images 42 from the capturedimages [m+1] to [m+n] based on a ratio of the number of the capturedimages [1] to [m] to the number of the captured images 40 that areselected from the captured images [1] to [m] as frame images 42.

In the example shown in FIG. 23, the ratio is p/m, and thus the controlunit 11 selects the frame images 42 from the captured images [m+1] to[m+n] at the same ratio as this ratio. In other words, the control unit11 selects q (q: q=n*p/m) captured images 40 from n captured images[m+1] to [m+n] as frame images 42. For example, the control unit 11selects a captured image 40 as a frame image 42 at intervals of m/p fromamong the captured images [m+1] to [m+n]. If m/p is “3”, the controlunit 11 selects captured images [m+3], [m+6], and [m+9], . . . as frameimages 42. In this way, it is possible to address the inconvenience asdescribed above.

In the above, a description has been given regarding a case where afeature point 60 corresponding to a certain point on the item 30 is notspecified in the captured images [m+1] to [m+n], and the samedescription can be applied to a case where a feature point 60corresponding to a certain point on the item 30 is not specified in thecaptured images [1] to [m]. In this case, the control unit 11 may selectframe images 42 from the captured images [1] to [m] based on a ratio ofthe number of the captured images [m+1] to [m+n] to the number of thecaptured images 40 that are selected from the captured images [m+1] to[m+n] as frame images 42.

[4] Further, for example, operations of the rotation angle informationobtaining unit 56 are not limited to the embodiment described above.

For example, the rotation angle information obtaining unit 56 may obtainelliptical orbit information relating to the orbit 70 of the featurepoint 60 (elliptical orbit) corresponding to the certain point on theitem 30. If a feature point 60 corresponding to a certain point on theitem 30 is specified in at least three captured images 40, it ispossible to obtain elliptical orbit information of the orbit 70 of thefeature point 60 based on the positions of the feature point 60 on thesecaptured images 40.

In a case where, for example, a rotation angle of the item 30 betweenthe point of time when the captured image [i] is shot and the point oftime when the captured image [i+k] (k: an integer of 1 or more) is shotis calculated, the rotation angle information obtaining unit 56 maycalculate the rotation angle based on the position of the feature point60 on the captured image [i], the position of the feature point 60 onthe captured image [i+k], and the elliptical orbit information. In thismanner, the rotation angle information of the rotation angle of the item30 between the point of time when the captured image [i] is shot and thepoint of time when the captured image [i+k] is shot can also beobtained.

The invention claimed is:
 1. An image processing device comprising: atleast one processor; and at least one memory device that stores aplurality of instructions, which when executed by the at least oneprocessor, cause the at least one processor to: obtain a plurality ofcaptured images that are obtained by repeatedly shooting an object whilethe object rotates at non-constant angular velocity; specify one or morefeature points in the captured images, obtain, when a feature pointcorresponding to a certain point on the object is specified in a pair ofcaptured images, position information relating to positions of thefeature point in the pair of captured images, one of the pair ofcaptured images being shot before the other of the pair of capturedimages; obtain rotation angle information relating to a rotation angleof the object between a point of time when the one of the pair ofcaptured images is shot and a point of time when the other of the pairof captured images is shot, based solely on the position informationfrom the captured images; and generate moving image data which shows howthe object rotates, by selecting a plurality of frame images of themoving image data from among the plurality of captured images, based onthe rotation angle information obtained by for each of the plurality ofcaptured images wherein the at least one processor: determines, when ani-th captured image among the plurality of captured images is selectedas a j-th frame image of the moving image data, determine whether or notthe rotation angle information Δθ_(i,i+k) between a point of time whenthe i-th captured image is shot and a point of time when an (i+k)-thcaptured image among the plurality of captured images is shot is equalto or more than a constant value θ_(T), where i is an integer of 1 ormore, j is an integer of 1 or more, and k is an integer of 1 or more;determines, when it is determined that the rotation angle informationΔθ_(i,i+k) is less than the constant value θ_(T), whether or not therotation angle information Δθ_(i,i+k+1) between the point of time whenthe i-th captured image is shot and a point of time when an (i+k+1)-thcaptured image among the plurality of captured images is shot is equalto or more than the constant value θ_(T); and selects, when it isdetermined that the rotation angle information Δθ_(i,i+k+1) is equal toor more than the constant value θ_(T), either one of the (i+k)-thcaptured image and the (i+k+1)-th captured image as a (j+1)-th frameimage of the moving image data.
 2. The image processing device accordingto claim 1, wherein, when a feature point corresponding to a certainpoint on the object is specified on a first pair of captured images, theat least one processor obtains position information relating to aposition of the feature point in a first captured image that is shotfirst among the first pair of captured images and in a second capturedimage that is shot later among the first pair of captured images,wherein the at least one processor obtains rotation angle informationrelating to a rotation angle of the object between a point of time whenthe first captured image of the first pair of captured images is shotand a point of time when the second captured image of the first pair ofcaptured images is shot based on the position information of the firstpair of captured images, wherein, when a feature point corresponding toa certain point on the object is specified in a second pair of capturedimages, the at least one processor obtains position information relatingto a position of the feature point of a first captured image that isshot first among the second pair of captured images and a secondcaptured image that is shot later among the second pair of capturedimages, wherein the at least one processor obtains rotation angleinformation relating to a rotation angle of the object between a pointof time when the first captured image of the second pair of capturedimages is shot and a point of time when the second captured image of thesecond pair of captured images is shot based on the position informationof the second pair of captured images, wherein, when the second capturedimage of the first pair of captured images is identical to the firstcaptured image of the second pair of captured images, the at least oneprocessor obtains cumulative rotation angle information relating to arotation angle of the object between the point of time when the firstcaptured image of the first pair of captured images is shot and thepoint of time when the second captured image of the second pair ofcaptured images is shot, based on the rotation angle information of thefirst pair of captured images and the rotation angle information of thesecond pair of captured images, and wherein the at least one processorselects a plurality of frame images of the moving image data from theplurality of captured images based on the cumulative rotation angleinformation.
 3. The image processing device according to claim 2,wherein, when the first captured image of the first pair of capturedimages is selected as a frame image of the moving image data, the atleast one processor determines whether or not to select the secondcaptured image of the second pair of captured images as another frameimage of the moving image data, based on a result of comparing thecumulative rotation angle information with the constant value θ_(T). 4.The image processing device according to claim 3, wherein, when thefirst captured image of the first pair of captured images is selected asa frame image of the moving image data and the cumulative rotation angleinformation is equal to or more than the constant value θ_(T), the atleast one processor selects either one of the second captured image ofthe second pair of captured images and a third captured image that wasshot immediately before the second captured image of the second pair ofcaptured images as another frame image of the moving image data.
 5. Theimage processing device according to claim 1, wherein the at least oneprocessor obtains the rotation angle information using the change amountof a feature point whose rotation radius of when the object rotates is afirst rotation radius, in preference to the change amount of a featurepoint whose rotation radius of when the object rotates is a secondrotation radius which is smaller than the first radius.
 6. The imageprocessing device according to claim 1, wherein the at least oneprocessor: obtains, when a plurality of feature points respectivelycorresponding to a plurality of points on the object are specified inthe pair of captured images, rotation radius information relating to arotation radius of a point on the object corresponding to the featurepoint, for each of the plurality of feature points; obtains, for each ofthe plurality of feature points, rotation angle information relating toa rotation angle of the point corresponding to the feature point on theobject between a point of time when the one of the pair of capturedimages is shot and a point of time when the other of the pair ofcaptured images is shot, based on the change amount and the rotationradius information of the feature points; and obtains the rotation angleinformation of the object based on the rotation angle information ofeach of the plurality of feature points.
 7. The image processing deviceaccording to claim 6, wherein the at least one processor: obtains, whenthe feature point corresponding to the certain point on the object isspecified in at least three captured images, elliptical orbitinformation relating to an elliptical orbit of the feature point basedon the position of the feature point in the at least three capturedimages; and obtains the rotation radius information of the feature pointbased on the elliptical orbit information of the feature point.
 8. Theimage processing device according to claim 6, wherein, when the featurepoint corresponding to the certain point on the object is firstspecified in a p-th, where p is an integer of 1 or more, captured imageand specified last in a q-th, where q is an integer greater than p,captured image that is shot later than the p-th captured image, the atleast one processor obtains the rotation radius information of thefeature point based on a position of the feature point in the p-thcaptured image and a position of the feature point in the q-th capturedimage.
 9. The image processing device according to claim 1, wherein theat least one processor: obtains, when the feature point corresponding tothe certain point on the object is specified in at least three capturedimages, elliptical orbit information relating to an elliptical orbit ofthe feature point; and obtains the rotation angle information based onthe positions of the feature point in the pair of captured images andthe elliptical orbit information.
 10. The image processing deviceaccording to claim 1, wherein the at least one processor: obtainssimilarity information relating to a similarity between a referencecaptured image that is selected from the plurality of captured imagesand each of a plurality of captured images that are shot after apredetermined period of time passes from a point of time when thereference captured image is shot; selects one of the plurality ofcaptured images that are shot after the predetermined period of timepasses from the point of time when the reference captured image is shotas a captured image of a point of time when the object completes onerotation based on the similarity information; and generates the movingimage data showing how the object rotates once based on captured imagesthat are shot before the point of time when the captured image selectedas the captured image of the time when the object completes one rotationis shot.
 11. The image processing device according to claim 10, whereinthe at least one processor: obtains a number of feature pointscorresponding to feature points specified in the reference capturedimage, from among the feature points specified in the captured imagethat is shot after the predetermined period of time passes from thepoint of time when the reference captured image is shot; selectscandidates of the captured image of the point of time when the objectcompletes one rotation, from among the plurality of captured images thatare shot after the predetermined period of time passes from the point oftime when the reference captured image is shot, based on the obtainednumber of feature points; obtains similarity information relating to asimilarity between the reference captured image and each of the capturedimages selected as the candidates; and selects one of the capturedimages selected as the candidates as the captured image of a point oftime when the object completes one rotation based on the similarityinformation.
 12. The image processing device according to claim 1,wherein the plurality of captured images include the 1st to mth, where mis an integer of 2 or more, captured images and m+1 th to m+nth, where nis an integer of 1 or more, captured images, which are shot after themth captured image, wherein the at least one processor: obtains a numberof the captured images selected as frame images of the moving image dataout of the 1st to the mth captured images; and selects the frame imagesof the moving image data out of the m+1th to the m+nth captured images,when the feature point corresponding to the point on the object is notspecified in the m+1th to the m+nth captured images, based on a ratio ofa number of the 1st to the mth captured images to the obtained number ofthe captured images.
 13. The image processing device according to claim1, wherein the plurality of captured images include the 1st to mth,where m is an integer of 2 or more, captured images and m+1th to m+nth,where n is an integer of 1 or more, captured images, which are shotafter the mth captured image, wherein the at least one processor:obtains a number of the captured images selected out of the m+1th to them+nth captured images as the frame images of the moving image data; andselects the frame images of the moving image data out of the 1st to themth captured images, when the feature point corresponding to the pointon the object is not specified in the 1st to the mth captured images,based on a ratio of a number of the m+1th to the m+nth captured imagesto the obtained number of the captured images.
 14. The image processingdevice according to claim 1, wherein the plurality of instructionsfurther causes the at least one processor to: determine whether or not afeature amount of the feature point specified in the one of the pair ofcaptured images and a feature amount of the feature point specified inthe other of the pair of captured images are the same or substantiallythe same; determine whether or not a difference of a coordinate value ofa direction of an axis corresponding to a rotation axis of the objectbetween the position of the feature point specified in the firstcaptured image and the position of the feature point specified in thesecond captured image is equal to or more than a threshold value; anddetermine whether or not the feature point specified in the one of thepair of captured images and the feature point specified in the other ofthe pair of captured images are feature points corresponding to thecertain point on the object based on a determination result of whetheror not the feature amount of the feature point specified in the one ofthe pair of captured images and the feature amount of the feature pointspecified in the other of the pair of captured images are the same orsubstantially the same and a determination result of the difference isequal to or more than the threshold value.
 15. The image processingdevice according to claim 1, wherein the plurality of instructionsfurther cause the at least one processor to: determine whether or notthe feature amount of the feature point specified in the one of the pairof captured images and the feature amount of the feature point specifiedin the other of the pair of captured images are the same orsubstantially the same; compare (a) information relating to a differenceof a coordinate value of a direction of a second axis perpendicular to afirst axis corresponding to a rotation axis of the object between theposition of a first feature point in the one of the pair of capturedimages and the position of the first feature point in the other of thepair of captured images with (b) information relating to a difference ofa coordinate value of the direction of the second axis between theposition of a second feature point in the one of the pair of capturedimages and the position of the second feature point in the other of thepair of captured images, when the first feature point having the same orsubstantially the same feature amount in both of the pair of capturedimages, and the second feature point having the same or substantiallythe same feature amount in both of the pair of captured images arespecified; and determine whether or not the feature point specified inthe one of the pair of captured images and the feature point specifiedin the other of the pair of captured images are feature pointscorresponding to the certain point on the object, based on adetermination result of whether or not the feature amount of the featurepoint specified in the one of the pair of captured images and thefeature amount of the feature point specified in the other of the pairof captured image are the same or substantially the same and a comparingresult of the (a) information with the (b) information.
 16. The imageprocessing device according to claim 1, wherein the at least oneprocessor obtains a plurality of captured images that are obtained byrepeatedly shooting the object while the object rotates a plurality oftimes, and wherein the at least one processor generates the moving imagedata that shows how the object rotates once based on the plurality ofcaptured images that are obtained by repeatedly shooting the objectwhile the object rotates the plurality of times.
 17. An image processingmethod comprising: obtaining a plurality of captured images that areobtained by repeatedly shooting an object while the object rotates atnon-constant angular velocity; specifying one or more feature points inthe captured images; obtaining, when a feature point corresponding to acertain point on the object is specified in a pair of captured images,position information relating to positions of the feature point in thepair of captured images, one of the pair of captured images being shotbefore the other of the pair of captured images; obtaining rotationangle information relating to a rotation angle of the object between apoint of time when the one of the pair of captured images is shot and apoint of time when the other of the pair of captured images is shot,based solely on the position information from the captured images; andgenerating moving image data by selecting a plurality of frame images ofthe moving image data, which shows how the object rotates, from amongthe plurality of captured images, based on the rotation angleinformation obtained for each of the plurality of captured imageswherein the generating comprises: determining, when an i-th capturedimage among the plurality of captured images is selected as a j-th frameimage of the moving image data, determine whether or not the rotationangle information Δθ_(i,i+k) between a point of time when the i-thcaptured image is shot and a point of time when an (i+k)-th capturedimage among the plurality of captured images is shot is equal to or morethan a constant value θ_(T), where i is an integer of 1 or more, j is aninteger of 1 or more, and k is an integer of 1 or more; determining,when it is determined that the rotation angle information Δθ_(i,i+k) isless than the constant value θ_(T), whether or not the rotation angleinformation Δθ_(i,i+k+1) between the point of time when the i-thcaptured image is shot and a point of time when an (i+k+1)-th capturedimage among the plurality of captured images is shot is equal to or morethan the constant value θ_(T); and selecting, when it is determined thatthe rotation angle information Δθ_(i,i+k+1) is equal to or more than theconstant value θ_(T), either one of the (i+k)-th captured image and the(i+k+1)-th captured image as a (j+1)-th frame image of the moving imagedata.
 18. A non-transitory computer-readable information storage mediumthat stores a program for causing a computer to: obtain a plurality ofcaptured images that are obtained by repeatedly shooting an object whilethe object rotates at non-constant angular velocity; specify one or morefeature points in the captured images, obtain, when a feature pointcorresponding to a certain point on the object is specified in a pair ofcaptured images, position information relating to positions of thefeature point in the pair of captured images, one of the pair ofcaptured images being shot before the other of the pair of capturedimages; obtain rotation angle information relating to a rotation angleof the object between a point of time when the one of the pair ofcaptured images is shot and a point of time when the other of the pairof captured images is shot, based solely on the position informationfrom the captured images; and generate moving image data by selecting aplurality of frame images of the moving image data, which shows how theobject rotates, from among the plurality of captured images, based onthe rotation angle information obtained for each of the plurality ofcaptured images, wherein the program causes the computer to: determine,when an i-th captured image among the plurality of captured images isselected as a j-th frame image of the moving image data, determinewhether or not the rotation angle information Δθ_(i,i+k) between a pointof time when the i-th captured image is shot and a point of time when an(i+k)-th captured image among the plurality of captured images is shotis equal to or more than a constant value θ_(T), where i is an integerof 1 or more, j is an integer of 1 or more, and k is an integer of 1 ormore; determine, when it is determined that the rotation angleinformation Δθ_(i,i+k) is less than the constant value θ_(T), whether ornot the rotation angle information Δθ_(i,i+k+1) between the point oftime when the i-th captured image is shot and a point of time when an(i+k+1)-th captured image among the plurality of captured images is shotis equal to or more than the constant value θ_(T); and select, when itis determined that the rotation angle information Δθ_(i,i+k+1) is equalto or more than the constant value θ_(T), either one of the (i+k)-thcaptured image and the (i+k+1)-th captured image as a (j+1)-th frameimage of the moving image data.
 19. The image processing deviceaccording to claim 1, wherein the at least one processor ignores featurepoints in a background area other than an area in which the object isincluded.
 20. The image processing device according to claim 1, whereinthe at least one processor: obtains a change amount of a position in anaxial direction of a first axis between the position of the featurepoint in the one of the pair of captured images and the position of thefeature point in the other of the pair of captured image, said firstaxis being perpendicular to a second axis corresponding to a rotationaxis of the object in the captured image; and obtains the rotation angleinformation that is the rotation angle of the object between the pointof time when the one of the pair of captured images is shot and thepoint of time when the other of the pair of captured images is shot andthat is used for selecting the plurality of frame images of the movingimage data of the rotating object from among the plurality of capturedimages, based on the change amount, wherein the at least one processor:specifies a straight line corresponding to a rotation axis of the objectin the captured image; sets, as an observation area, an area in thecaptured image through the center of which the specified straight linecorresponding to a rotation axis of the object passes and which has apredetermined width around the specified straight line; and ignoresfeature points outside the observation area.
 21. The image processingdevice according to claim 1, wherein the at least one processor:selects, when it is determined that the rotation angle informationΔθ_(i,i+k+1) is equal to or more than the constant value θ_(T) and therotation angle information Δθ_(i,i+k+1) is closer to the constant valueθ_(T) than the rotation angle information Δθ_(i,i+k), the (i+k+1)-thcaptured image as the (j+1)-th frame image of the moving image data, andselects, when it is determined that the rotation angle informationΔθ_(i,i+k+1) is equal to or more than the constant value θ_(T) and therotation angle information Δθ_(i,i+k) is closer to the constant valueθ_(T) than the rotation angle information Δθ_(i,i+k+1), the (i+k)-thcaptured image as the (j+1)-th frame image of the moving image data. 22.The image processing device according to claim 1, wherein the at leastone processor calculates a sum of the rotation angle informationΔθ_(i,i+k) and the rotation angle information Δθ_(i+k,i+k+1) between thepoint of time when the (i+k)-th captured image is shot and the point oftime when the (i+k+1)-th captured image, to thereby obtain the rotationangle information Δθ_(i,i+k+1).